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Finding the Fourth Proportional to 628.25, 940.13 and 408.74

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Solution

The fourth proportional to 628.25, 940.13 and 408.74 is: 611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.25 : 940.13 = 408.74 : x
  2. Step 2: Convert to fraction form
    628.25/940.13 = 408.74/x
  3. Step 3: Cross multiply
    628.25x = 940.13 × 408.74
  4. Step 4: Simplify right side
    628.25x = 384,261.99
  5. Step 5: Solve for x
    x = 384,261.99/628.25
  6. Step 6: Final answer
    x = 611.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.